If the form was to be made an official part of the system, I don't see the reason to train dozens of people. The Users of the form are already familiar with how it's used...grandfather them in.

Unless, of course, you decide to tweak the process a bit.
Something else to consider that is low cost and relatively low maintenance. When I started with my company, I noticed that our QC Lab used a form of logging location of partly finished product that I absolutely hated! Despised! And made it my personal goal to get rid of...
...but before wiping the existence of this method from the face of the planet, I decided to investigate it. I'm thrilled that I did and I'm continually amazed that such a simple means of tracking locations works! It's called a...
...blackboard.
Yup....a blackboard...complete with chalk.
This blackboard with different colours of chalk record location of our partly finished product out in the yard. Every audit has found it to be up to date. Our QC personnel update it several times a shift as part of their routine. It does match what's in the computer system, but at a glance provides an excellent visual of the status of our yard.
The blackboard and I have come to terms and we get along great now.
And if you're worried about pranksters erasing the board, then you have bigger issues with your organization than forms not being completed.
FYI, we did erase the board once...on April 1. The QC Manager had an absolute fit!!! A Scotsman in a rage....he matched his clan's kilt! But we took a picture of the board prior to erasing it and we were able to put everything back as it was.
